Question

Suppose three coins are tossed. Let S be the random variable representing

the number of heads that occur. Determine the sample space and the values of a

random variable

Answer 1

Sample space: {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

$P(S=0)=\frac{1}{8}.$

$P(S=1)=\frac{3}{8}.$

$P(S=2)=\frac{3}{8}.$

$P(S=3)=\frac{1}{8}.$